Question

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Answer 1

GIVEN :

• $p \: = \frac{4nlv}{ {r}^{2} }$
• p = pressure =[ L ^-1 M T ^-2]

• v =velocity = [ L¹ T^-1 ]

• l = length = [L¹ ]

• r = radius =[L²]

TO FIND :

• Dimension of n

SOLUTION:

$n = \frac{p {r}^{2} }{4lv}$

n = [ L ^-1 M T ^-2] [L²]² / [L¹ ] [ L¹ T^-1 ]

n = [ L ^-1 M T ^-2] [L ^4 ] / [L¹ ] [ L¹ T^-1 ]

n = [ L ^3 M T ^-2 ] / [L² T ^-1]

n= [ L ¹ M T^-1]